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Finding the Fourth Proportional to 301,892.86, 416,612.28 and 165,925.68

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Solution

The fourth proportional to 301,892.86, 416,612.28 and 165,925.68 is: 228,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,892.86 : 416,612.28 = 165,925.68 : x
  2. Step 2: Convert to fraction form
    301,892.86/416,612.28 = 165,925.68/x
  3. Step 3: Cross multiply
    301,892.86x = 416,612.28 × 165,925.68
  4. Step 4: Simplify right side
    301,892.86x = 69,126,675,855.35
  5. Step 5: Solve for x
    x = 69,126,675,855.35/301,892.86
  6. Step 6: Final answer
    x = 228,977.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.